A Possible Origin of Lognormal Distributions in Gamma-Ray Bursts | Zendy

Kunihito Ioka | Zendy; Takashi Nakamura | Zendy

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A Possible Origin of Lognormal Distributions in Gamma-Ray Bursts

Author(s) -

Kunihito Ioka,

Takashi Nakamura

Publication year - 2002

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/340815

Subject(s) - log normal distribution , redshift , gamma ray burst , astrophysics , physics , distribution (mathematics) , gamma distribution , energy (signal processing) , duration (music) , statistical physics , mathematics , statistics , quantum mechanics , mathematical analysis , galaxy , acoustics

We show that if the intrinsic break energy of Gamma-Ray Bursts (GRBs) isdetermined by the product of more than three random variables the observedbreak energy distribution becomes almost lognormal including the redshifteffect because of the central limit theorem. The excess from the lognormaldistribution at the low break energy is possibly due to the high redshift GRBs.The same argument may also apply to the pulse duration, the interval betweenpulses and so on.Comment: 11 pages, 3 figures, accepted for publication in ApJ

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